Question

Sajal can ride a scooter constantly at a speed of 30 km/hr. draw a distance-time graph for this situation.
Use the graph drawn to find:
(i) The time taken by Sajal to ride 75 km
(ii) The distance covered by Sajal in $3\frac{1}{2}$ hours

Answer 1

We have,
speed $=\frac{\mathrm{distance}}{\mathrm{time}}$


We have the following table for Distance-Time graph

Time(hrs)	1	2	3	4
Distance(km)	30	60	90	120

(i) Given speed = 30 km/hr , distance = 75 km
using formula we have
$$\begin{gathered} 30=\frac{75}{\mathrm{time}\mathrm{taken}} \\ \mathrm{time}\mathrm{taken}=2.5\mathrm{hr} \end{gathered}$$

Hence, the time taken by Sajal to ride 75 km is 2.5 hr.

(ii) Given speed = 30 km/hr , time = $3\frac{1}{2}$ hr
using formula we have,

$$\begin{gathered} 30=\frac{\mathrm{distance}}{7/2} \\ \mathrm{distance}=105\mathrm{km} \end{gathered}$$

Hence, the distance covered by Sajal in $3\frac{1}{2}$ hours is 105 km.